Finding the Fourth Proportional to 11,667, 17,501.76 and 3,768.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,667 : 17,501.76 = 3,768.96 : x
2. Step 2: Convert to fraction form
   11,667/17,501.76 = 3,768.96/x
3. Step 3: Cross multiply
   11,667x = 17,501.76 × 3,768.96
4. Step 4: Simplify right side
   11,667x = 65,963,433.37
5. Step 5: Solve for x
   x = 65,963,433.37/11,667
6. Step 6: Final answer
   x = 5,653.85